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tekilochka [14]
3 years ago
5

Jorge received a 3.1% increase in his pay at work. If he now makes $8.00 per hour, how much was he making before his raise? (Rou

nd answer to the nearest cent (hundredths))
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer:

$7.76

Step-by-step explanation:

Let x be the amount he was making before the raise.

He had an increase of 3.1% of x added to x which resulted in a new salary of $8.00 per hour.

Mathematically:

(\frac{3.1}{100} * x) + x = 8\\\\0.031x + x = 8\\\\1.031x = 8\\\\=> x = 8 / 1.031

x = $7.76

He was making $7.76 before the raise.

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Arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12​
blsea [12.9K]

Answer:

11/12, 5/7, 1,8, 1/4, 1/2

Step-by-step explanation:

6 0
2 years ago
Some girls in a Girl Scout troop are pairing up with some boys in a Boy Scout troop to practice square dancing. Two-thirds of th
Natalka [10]

Answer:

Fraction of the scouts are square dancing is \frac{19}{30}.

Step-by-step explanation:

Each pair  is one Girl Scout and one Boy Scout.

So,  to  the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.  

Girls= \frac{2}{3} *\frac{1}{2} =\frac{2}{6}

Boys= \frac{3}{5} *\frac{1}{2} =\frac{3}{10}

To get the fraction of the scouts that are square dancing,  we have to add the fraction of girls ,  with the fraction of boys.  

=\frac{2}{6} +\frac{3}{10}

=\frac{(2*10) +(6*3)}{6*10} =\\ \frac{20+18}{60}

=\frac{38}{60}

=\frac{19}{30}

This means that  from 30 scouts ,  19 are dancing.  

5 0
3 years ago
X-4y=-22 solve for y
Arturiano [62]
Add 4y to both sides of the equation:
x=4y-22
Now replace x in the equation:
(4y-22)-4y=-22
Distribute the negative sign:
-4y+22-4y=-22
Add common terms:
-8y+22=-22
Add 8y to both sides of the equation:
8y-22=22
Add 22 to both sides of the equation:
8y=44
Divide both sides by 8:
y=5.5
9 0
3 years ago
Factor the following:<br><br> 1. 5(a+3)²- (a+3<br><br> 2. p²- 6 - q · (p²- 6)²
scoundrel [369]

Answer:

1. (a + 3)(5a-14)

2. (p^2-6)[1-q(p^2-6)]

Step-by-step explanation:

1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.

Then the expression. 5(a + 3)^2- (a + 3) remains as:

(a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)

2. The first thing to do to factor the expression is to take the expression  p^2 -6 as its common factor with its lowest exponent.

Then the expression p^2- 6 - q(p^2- 6)^2 remains as:

(p^2-6)[1-q (p^2-6)]

8 0
3 years ago
Math question shown below question and graph
Mekhanik [1.2K]

Answer:

The graph would look something like this...

Step-by-step explanation:


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3 years ago
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